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CaritaDeAngel

  • 2 years ago

What Is The Value Of n So That The Expression X² + 12 x + n Is A Perfect Square Trinomial ? ( 1 Point ) A . 36 B . 36 C . 72 D . 144

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  1. ParthKohli
    • 2 years ago
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    HINT: \[x^2 + 6x + 6x + n\]

  2. ParthKohli
    • 2 years ago
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    \[x(x + 6) + 6(x + \cdots)\]

  3. ParthKohli
    • 2 years ago
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    What do you think? @CaritaDeAngel

  4. CaritaDeAngel
    • 2 years ago
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    I'm Not So Sure Still

  5. ParthKohli
    • 2 years ago
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    Do you know that if you have a perfect square polynomial, then you must separate the middle term into the two same numbers.

  6. ParthKohli
    • 2 years ago
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    Here, \(12 x = 6x + 6x\).

  7. skullpatrol
    • 2 years ago
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    $$a^2 +2ab+b^2 = (a+b)^2$$ $$x² + 12 x + n$$

  8. ParthKohli
    • 2 years ago
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    Now factor the first two terms: \(x^2 + 6x = x(x + 6)\)

  9. CaritaDeAngel
    • 2 years ago
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    Is It D ?

  10. ParthKohli
    • 2 years ago
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    \[(x + a)^2 = x^2 + 2ax + a^2\]\(12x= 2ax\)

  11. skullpatrol
    • 2 years ago
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    Why do both A and B have the same answer @CaritaDeAngel ?

  12. ParthKohli
    • 2 years ago
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    How do you think it is D? Can you explain?

  13. CaritaDeAngel
    • 2 years ago
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    Oops A Is Actually Supposed To Be 6

  14. CaritaDeAngel
    • 2 years ago
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    Sorry My Mistake I Didn't See That

  15. skullpatrol
    • 2 years ago
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    No problem :)

  16. CaritaDeAngel
    • 2 years ago
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    I'll Re-Type The Answer Choices Again In Case You Get Confused A . 6 B . 36 C . 72 D . 144

  17. skullpatrol
    • 2 years ago
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    |dw:1362059808210:dw|

  18. CaritaDeAngel
    • 2 years ago
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    Is This Supposed To Be A Graph ?

  19. CaritaDeAngel
    • 2 years ago
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    Or Just The Numbers ?

  20. skullpatrol
    • 2 years ago
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    |dw:1362059930311:dw|

  21. skullpatrol
    • 2 years ago
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    |dw:1362059990294:dw|

  22. CaritaDeAngel
    • 2 years ago
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    I Think It's D But I Know I'm Not Sure

  23. skullpatrol
    • 2 years ago
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    |dw:1362060112145:dw|

  24. skullpatrol
    • 2 years ago
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    |dw:1362060295839:dw|

  25. CaritaDeAngel
    • 2 years ago
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    Ok . Is It B ?

  26. skullpatrol
    • 2 years ago
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    Correct. $$6^2=36=n$$

  27. CaritaDeAngel
    • 2 years ago
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    Oh Ok Thank You

  28. skullpatrol
    • 2 years ago
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    np :)

  29. CaritaDeAngel
    • 2 years ago
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    I Have One More Question

  30. CaritaDeAngel
    • 2 years ago
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    A Rocket Is Launched From Atop A 105-foot Cliff With An Initial Velocity Of 156 ft/s . The Height Of The Rocket Above The Ground At Time t Is Given By h = –16t2 + 156t + 105 . When Will The Rocket Hit The Ground After It Is Launched ? Round To The Nearest Tenth Of A Second . (1 point)

  31. CaritaDeAngel
    • 2 years ago
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    A . 4.9 s B . 9.8 s C . 0.6 s D . 10.4 s

  32. CaritaDeAngel
    • 2 years ago
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    I'm Guessing It's D

  33. CaritaDeAngel
    • 2 years ago
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    Oh I Just Sent My Work . OMG I Got A 100 % !

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